Based on the graph, which of the following represents a solution to the equation? (4 points) A. (−2,−3) B. (3, 1) C. (1, 3) D. (
3, 2)
2 answers:
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Parameterize the part of the paraboloid within the cylinder - I'll call it 
- by
with
and 
. The region's area is given by the surface integral
Take
so that 
, and the integral becomes
with
Take
Given that the triangle is isosceles, we can say that AB = AC. Using the given expressions we can form the following equation.
Let's solve for x.
Once we have the value of the variable, we can find the length of AC.